A project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability distribution below?

Probability Distribution

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Complete question:

A project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability

distribution below?

Grade(X) 12345

Frequency3 5 9 5 3

P(X) : 0.1 ___0.2 ___0.4 ___ 0.2 __0.1

3

Step-by-step explanation:

Given the probability distribution :

Grade(X) 12345

Frequency3 5 9 5 3

P(X) : 0.1 ___0.2 ___0.4 ___ 0.2 __0.1

The mean of the distribution :

Σ(X * P(X)) :

(1*0. 1) + (2 * 0.2) + (3 * 0.4) + (4 * 0.2) + (5 * 0.1)

0.1 + 0.4 + 1.2 + 0.8 + 0.5

= 3

answer is 144

step-by-step explanation: